approximation property造句

例句与造句

1. A Banach space with a Schauder basis is necessarily bounded approximation property.
2. This deep architecture allows the design of neural networks with universal approximation properties.
3. On the other hand, Szankowski proved that the classical space does not have the approximation property.
4. Grothendieck's work on the theory of Banach spaces and continuous linear operators introduced the approximation property.
5. Grothendieck thus focused the attention of functional analysts on deciding whether every Banach space have the approximation property.
6. It's difficult to find approximation property in a sentence. 用approximation property造句挺难的
7. The space of bounded operators on \ ell ^ 2 does not have the approximation property ( Szankowski ).
8. A Banach space is said to have the approximation property, if every compact operator is a limit of finite-rank operators.
9. :* X has the ( classical ) approximation property \ Longleftrightarrow X ^ \ star has the ( classical ) approximation property;
10. :* X has the ( classical ) approximation property \ Longleftrightarrow X ^ \ star has the ( classical ) approximation property;
11. This was negatively answered by Per Enflo who constructed a separable Banach space failing the approximation property, thus a space without a Schauder basis.
12. Furthermore, just as Enflo's example, this space is a " hand-made " space that fails to have the approximation property.
13. In a long monograph, Grothendieck proved that if every Banach space had the approximation property, then every Banach space would have a Schauder basis.
14. Weak approximation holds for a broader class of groups, including adjoint groups and inner forms of Chevalley groups, showing that the strong approximation property is restrictive.
15. The spaces \ ell ^ p for p \ neq 2 and c _ 0 ( see Sequence space ) have closed subspaces that do not have the approximation property.
16. Whether this was true in general for Banach spaces ( the approximation property ) was an unsolved question for many years; in the end Per Enflo gave a counter-example.
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